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Finding the Fourth Proportional to 12,929.70, 17,842.95 and 7,264.61

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Solution

The fourth proportional to 12,929.70, 17,842.95 and 7,264.61 is: 10,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.70 : 17,842.95 = 7,264.61 : x
  2. Step 2: Convert to fraction form
    12,929.70/17,842.95 = 7,264.61/x
  3. Step 3: Cross multiply
    12,929.70x = 17,842.95 × 7,264.61
  4. Step 4: Simplify right side
    12,929.70x = 129,622,073.00
  5. Step 5: Solve for x
    x = 129,622,073.00/12,929.70
  6. Step 6: Final answer
    x = 10,025.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.